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Finding the Fourth Proportional to 13,384.87, 20,029.87 and 9,866.56

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Solution

The fourth proportional to 13,384.87, 20,029.87 and 9,866.56 is: 14,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.87 : 20,029.87 = 9,866.56 : x
  2. Step 2: Convert to fraction form
    13,384.87/20,029.87 = 9,866.56/x
  3. Step 3: Cross multiply
    13,384.87x = 20,029.87 × 9,866.56
  4. Step 4: Simplify right side
    13,384.87x = 197,625,914.15
  5. Step 5: Solve for x
    x = 197,625,914.15/13,384.87
  6. Step 6: Final answer
    x = 14,764.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.